Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage
NRICH topics: Calculus Integration

Resources tagged with: Integration

Content type:
Age range:
Challenge level:

There are 12 NRICH Mathematical resources connected to Integration, you may find related items under Calculus.

Broad Topics > Calculus > Integration

Problem Primary curriculum Secondary curriculum

Normal Intersection

Explore the intersection possibilities for normal pdfs.

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Curved Square

Can you find the area of the central part of this shape? Can you do it in more than one way?

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Harmonically

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Integral Equation

Solve this integral equation.

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Area L

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Calculus Countdown

Can you hit the target functions using a set of input functions and a little calculus and algebra?

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Operating Machines

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Integration Matcher

Can you match the charts of these functions to the charts of their integrals?

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Mind Your Ps and Qs

Sort these mathematical propositions into a series of 8 correct statements.

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Integral Arranging

How would you sort out these integrals?

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Integral Inequality

An inequality involving integrals of squares of functions.

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Integral Sandwich

Generalise this inequality involving integrals.

Age 16 to 18
Challenge Level Yellow starYellow star

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo